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Finding the Fourth Proportional to 199,820.64, 299,722.71 and 111,017.50

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Solution

The fourth proportional to 199,820.64, 299,722.71 and 111,017.50 is: 166,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,820.64 : 299,722.71 = 111,017.50 : x
  2. Step 2: Convert to fraction form
    199,820.64/299,722.71 = 111,017.50/x
  3. Step 3: Cross multiply
    199,820.64x = 299,722.71 × 111,017.50
  4. Step 4: Simplify right side
    199,820.64x = 33,274,465,957.43
  5. Step 5: Solve for x
    x = 33,274,465,957.43/199,820.64
  6. Step 6: Final answer
    x = 166,521.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.